• Title/Summary/Keyword: Darboux transform

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DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS

  • Yoon, Gang-Joon
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.359-376
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    • 2002
  • We give a new interpretation of Darboux transforms in the context of orthogonal polynomials and find conditions in or-der for any Darboux transform to yield a new set of orthogonal polynomials. We also discuss connections between Darboux trans-forms and factorization of linear differential operators which have orthogonal polynomial eigenfunctions.